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2. An audio signal m(t) is to be digitized using a non-uniform PCM encoding scheme. The bandwidth of the signal is 10 KHz, and the signal is to be quantized using a uniform quantization scheme for each of two ranges of the signal but with a different step size. Let mp = max |m(t)| be the peak value of m(t), and let ms = m(kT) be a sample of m(t). If |ms| ? mp/2 then the quantization error should be less than 0.1% of the peak, mp, otherwise the quantization error should be less than 0.4% of the peak. a) Determine a quantization scheme by listing all the threshold values; that is, specify the characteristics of the quantizer by giving the the output quantized level versus the input analog voltage level for each value of the sample. b) Assign a unique binary code to the quantized levels. What is the number of bits per sample? c) Determine the bit rate for the digitized speech signal assuming a 20% oversampling rate in order to facilitate the filtering during signal reconstruction.

          2. An audio signal m(t) is to be digitized using a non-uniform PCM encoding scheme. The bandwidth of the signal is 10 KHz, and the signal is to be quantized using a uniform quantization scheme for each of two ranges of the signal but with a different step size. Let mp = max |m(t)| be the peak value of m(t), and let ms = m(kT) be a sample of m(t). If |ms| ? mp/2 then the quantization error should be less than 0.1% of the peak, mp, otherwise the quantization error should be less than 0.4% of the peak. a) Determine a quantization scheme by listing all the threshold values; that is, specify the characteristics of the quantizer by giving the the output quantized level versus the input analog voltage level for each value of the sample. b) Assign a unique binary code to the quantized levels. What is the number of bits per sample? c) Determine the bit rate for the digitized speech signal assuming a 20% oversampling rate in order to facilitate the filtering during signal reconstruction.

2. An audio signal m(t) is to be digitized using a non-uniform PCM encoding scheme. The bandwidth of the signal is 10 KHz, and the signal is to be quantized using a uniform quantization scheme for each of two ranges of the signal but with a different step size. Let mp = max |m(t)| be the peak value of m(t), and let ms = m(kT) be a sample of m(t). If |ms| ? mp/2 then the quantization error should be less than 0.1% of the peak, mp, otherwise the quantization error should be less than 0.4% of the peak. a) Determine a quantization scheme by listing all the threshold values; that is, specify the characteristics of the quantizer by giving the the output quantized level versus the input analog voltage level for each value of the sample. b) Assign a unique binary code to the quantized levels. What is the number of bits per sample? c) Determine the bit rate for the digitized speech signal assuming a 20% oversampling rate in order to facilitate the filtering during signal reconstruction.

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